New net jrf exam pattern and syllabus 2011 june-mathematical science

New NET-JRF pattern will be implement from June, 2011 exam mathematical science NET-JRF new exam scheme and syllabus available for download

A new pattern will be implemented from June 2011 for NET-JRF exam.The detailed exam scheme and syllabus for physical science paper given below.

EXAM SCHEME

MAXIMUM MARKS: 200

TIME: 3 HOURS

From June, 2011 CSIR-UGC (NET) Exam will be a Single Paper Test having Multiple Choice Questions (MCQs). The question paper shall be divided in three parts.

Part 'A'

This part shall carry 20 questions pertaining to General Science, Quantitative Reasoning & Analysis and Research Aptitude. The candidates shall be required to answer any 15 questions. Each question shall be of two marks. The total marks allocated to this section shall be 30 out of 200.

Part 'B'

This part shall contain 20 Multiple Choice Questions (MCQs) generally covering the topics given in the Part 'A'(CORE) of syllabus. All questions are compulsory. Each question shall be of 3.5 Marks. The total marks allocated to this section shall be 70 out of 200.

Part 'C'

This part shall contain 25 questions from Part 'B'(Advanced) that are designed to test a candidate's knowledge of scientific concepts and/or application of the scientific concepts. The questions shall be of analytical nature where a candidate is expected to apply the scientific knowledge to arrive at the solution to the given scientific problem. There will be 10 compulsory questions. Out of remaining 15 questions, a candidate shall be required to answer any 10. Each question shall be of 5 Marks. The total marks allocated to this section shall be 100 out of 200.

There will be negative marking @25% for each wrong answer.To enable the candidates to go through the questions, the question paper booklet shall be distributed 15 minutes before the scheduled time of the exam. The Answer sheet shall be distributed at the scheduled time of the exam.

On completion of the exam i.e. at the scheduled closing time of the exam, the candidates shall be allowed to carry the Question Paper Booklet. No candidate is allowed to carry the Question Paper Booklet in case he/she chooses to leave the test before the scheduled closing time.

Model Question Paper shall be released at the time of Notification for June 2011 exam

Ordinary Differential Equations (ODEs):Existence and uniqueness of solutions of initial value problems for first order ordinary differential equations, singular solutions of first order ODEs, system of first order ODEs.General theory of homogenous and non-homogeneous linear ODEs, variation of parameters, Sturm-Liouville boundary value problem, Green's function.Partial Differential Equations (PDEs):Lagrange and Charpit methods for solving first order PDEs, Cauchy problem for first order PDEs.Classification of second order PDEs, General solution of higher order PDEs with constant coefficients, Method of separation of variables for Laplace, Heat and Wave equations.

Calculus of Variations:Variation of a functional, Euler-Lagrange equation, Necessary and sufficient conditions for extrema. Variational methods for boundary value problems in ordinary and partial differential equations.

Linear Integral Equations:Linear integral equation of the first and second kind of Fredholm and Volterra type, Solutions with separable kernels. Characteristic numbers and eigenfunctions, resolvent kernel.

All students are expected to answer questions from Unit I. Students with M.sc. in mathematics are expected to answer additional question from Unit II and III. Students with M.sc. in statistics are expected to answer additional question from Unit IV.

Reference: http://csirhrdg.res.in/mcs_ma_sylbs.pdf

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